On a Certain Class of Quasilinear Second-Order Differential-Algebraic Equations

被引：0

作者：

Bulatov M.V. ^{[1
,2
]}

Solovarova L.S. ^{[1
]}

机构：

[1] Matrosov Institute for System Dynamics and Control Theory of the Siberian Branch of Russian Academy of Sciences, Irkutsk

[2] Buryat State University, Ulan-Ude

来源：

Journal of Mathematical Sciences | 2022年 / 268卷 / 1期

关键词：

34A09; 65L80; initial problem; matrix polynomial; second-order differential-algebraic equation;

D O I：

10.1007/s10958-022-06176-1

中图分类号：

学科分类号：

摘要：

We consider systems of second-order, quasilinear, ordinary differential equations with an identically degenerate matrix coefficient of the principal term and with well-posed initial conditions. Fundamental differences between such problems and systems of ordinary differential equations solved with respect to the second derivative are indicated. In terms of matrix polynomials, we formulate conditions of the existence and uniqueness of solutions of such problems in a neighborhood of the starting point. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：15 / 23

页数：8

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